de Morais, Roberto J. F. On some commutativity theorems for finite rings and finite groups. (English) Zbl 1050.16018 Czech. Math. J. 50, No. 2, 245-247 (2000). The relation between nilpotent elements in a ring and commutativity conditions in finite rings and finite groups is investigated. Reviewer: Alois Kufner (Praha) Cited in 2 Documents MSC: 16U70 Center, normalizer (invariant elements) (associative rings and algebras) 16P10 Finite rings and finite-dimensional associative algebras 16N40 Nil and nilpotent radicals, sets, ideals, associative rings 16U80 Generalizations of commutativity (associative rings and algebras) 20F99 Special aspects of infinite or finite groups Keywords:non-commutative groups; finite groups; finite rings; commutativity theorems PDFBibTeX XMLCite \textit{R. J. F. de Morais}, Czech. Math. J. 50, No. 2, 245--247 (2000; Zbl 1050.16018) Full Text: DOI EuDML References: [1] Artin, Emil: Collected Papers. Springer Verlag, 1965. · Zbl 0146.00101 [2] De Morais, Roberto J. F.: On a Representation Theorem for Finite Dimensional Algebras. · Zbl 1050.16018 [3] Jacoboson, Nathan: Collected Mathematical Papers. Birkhäuser, 1989. [4] Wedderburn, J.H.M.: On hypercomplex numbers. Proc. London Math. Soc. 6 (1908). · JFM 39.0139.01 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.